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# -*- coding: utf-8 -*-
import math
EARTH_RADIUS_KM = 6373
def haversine_distance(lat1, lon1, lat2, lon2, radius=EARTH_RADIUS_KM):
"""Calculate the Haversine distance between two lat/lon pairs, given by:
a = sin²(Δφ/2) + cos φ1 ⋅ cos φ2 ⋅ sin²(Δλ/2)
c = 2 ⋅ atan2( √a, √(1a) )
d = R ⋅ c
where R is the radius of the Earth (in kilometers). By default we use 6373 km,
a radius optimized for calculating distances at approximately 39 degrees from
the equator i.e. Washington, DC
:param lat1: first latitude
:param lon1: first longitude (use negative range for longitudes West of the Prime Meridian)
:param lat2: second latitude
:param lon2: second longitude (use negative range for longitudes West of the Prime Meridian)
:param radius: radius of the Earth in (miles|kilometers) depending on the desired units
"""
lat1 = math.radians(lat1)
lat2 = math.radians(lat2)
lon1 = math.radians(lon1)
lon2 = math.radians(lon2)
dlon = lon2 - lon1
dlat = lat2 - lat1
a = (math.sin(dlat / 2.0)) ** 2 + math.cos(lat1) * math.cos(lat2) * (math.sin(dlon/2.0)) ** 2
c = 2 * math.atan2(math.sqrt(a), math.sqrt(1 - a))
d = radius * c
return d